Text Book Of Mechanical Engineering

Long Columns: by Euler.

EULER'S FORMULAE FOR LONG- COLUMNS.

457

^
One end fixed, the other free
^EI
zn

w i p '"
-ty

,1
i

Both ends free but load guided
7T2EI
W-^~-~j~
= rQ

i
One end fixed the other free, but load guided
7T2EI
-2Q

W~2 ">

1
Both ends feed, and load guided
7T2EI
= 4Q

^ - 4 p

A factor of safety of«5 must be employed, and I can be found
either from table (p. 429) or graphically (p. 431). The neutral
axis for I must lie across the greatest width of section,

Eulef s rules do not compare favourably 'with experiment, so
engineers prefer Gordon's formulae, which are a modified form of
those ma.de by HodgMnsort from his experiments. They give